PRICE DATA FOR 6 STOCKS AND THE S&P500 Date 4/Jan/10 1/Feb/10 1/Mar/10 1/Apr/10 3/May/10 1/Jun/10 1/Jul/10 2/Aug/10 1/Sep/10 1/Oct/10 1/Nov/10 1/Dec/10 3/Jan/11 1/Feb/11 1/Mar/11 1/Apr/11 2/May/11 1/Jun/11 1/Jul/11 1/Aug/11 1/Sep/11 3/Oct/11 1/Nov/11 1/Dec/11 3/Jan/12 1/Feb/12 1/Mar/12 2/Apr/12 1/May/12 1/Jun/12 2/Jul/12 1/Aug/12 4/Sep/12 1/Oct/12 1/Nov/12 3/Dec/12 2/Jan/13 Hewlett- Packard HPQ 44.77 48.30 50.63 49.50 43.83 41.29 43.93 36.69 40.22 40.20 40.09 40.33 43.77 41.79 39.32 38.75 35.88 35.05 33.87 25.07 21.74 25.76 27.06 25.05 27.21 24.61 23.29 24.20 22.16 19.77 17.93 16.59 16.90 13.72 12.87 14.25 15.14 Pfizer PFE 16.54 15.70 15.34 14.96 13.77 12.89 13.56 14.54 15.70 15.92 15.05 16.17 16.83 17.96 18.95 19.57 20.21 19.41 18.14 18.08 16.85 18.35 19.32 20.83 20.60 20.55 22.02 22.27 21.48 22.59 23.61 23.65 24.63 24.65 25.02 25.08 25.96 El Paso Pipelines EPB 20.68 22.23 23.95 23.53 24.02 24.96 27.77 27.61 28.28 30.09 29.57 29.86 31.40 34.09 32.76 33.91 31.47 31.81 32.64 34.13 32.90 31.36 30.83 32.58 33.52 34.99 33.29 32.81 31.78 32.74 34.30 35.61 36.62 35.71 37.33 36.97 37.88 Teva TEVA 53.48 56.77 59.67 55.56 52.03 49.34 46.36 48.22 50.25 49.42 47.85 49.85 52.26 48.11 48.18 43.91 49.11 46.52 45.00 40.12 36.11 39.63 38.63 39.36 44.02 43.97 44.21 44.91 38.70 38.95 40.38 39.33 41.15 40.16 40.35 37.34 38.04 Kellogg K 49.46 47.74 48.92 50.30 49.26 46.38 46.15 46.18 46.95 46.72 46.14 47.87 47.14 50.58 50.98 54.08 54.21 52.62 53.06 52.08 51.00 51.97 47.55 48.92 47.90 51.05 52.30 49.32 47.98 48.52 46.92 50.25 51.25 51.91 55.46 55.85 56.64 Ford F 10.64 11.52 12.34 12.78 11.51 9.90 12.54 11.08 12.02 13.87 15.65 16.48 15.66 14.77 14.64 15.19 14.65 13.54 11.99 10.92 9.49 11.47 10.41 10.56 12.24 12.20 12.30 11.16 10.45 9.49 9.15 9.29 9.81 11.16 11.45 12.95 13.57 S&P500 AGSPC 1073.87 1104.49 1169.43 1186.69 1089.41 1030.71 1101.60 1049.33 1141.20 1183.26 1180.55 1257.64 1286.12 1327.22 1325.83 1363.61 1345.20 1320.64 1292.28 1218.89 1131.42 1253.30 1246.96 1257.60 1312.41 1365.68 1408.47 1397.91 1310.33 1362.16 1379.32 1406.58 1440.67 1412.16 1416.18 1426.19 1466.47 COMPUTING THE GLOBAL MINIMUM VARIANCE Variance-covariance matrix HPQ PFE EPB TEVA K F HPQ PFE EPB TEVA K F HPQ PFE EPB TEVA K F GMVP Variance Standard Deviation PRICE DATA FOR 6 STOCKS AND THE S&P500 Date 4/Jan/10 1/Feb/10 1/Mar/10 1/Apr/10 3/May/10 1/Jun/10 1/Jul/10 2/Aug/10 1/Sep/10 1/Oct/10 1/Nov/10 1/Dec/10 3/Jan/11 1/Feb/11 1/Mar/11 1/Apr/11 2/May/11 1/Jun/11 1/Jul/11 1/Aug/11 1/Sep/11 3/Oct/11 1/Nov/11 1/Dec/11 3/Jan/12 1/Feb/12 1/Mar/12 2/Apr/12 1/May/12 1/Jun/12 2/Jul/12 1/Aug/12 4/Sep/12 1/Oct/12 1/Nov/12 3/Dec/12 2/Jan/13 Hewlett- Packard HPQ 44.77 48.30 50.63 49.50 43.83 41.29 43.93 36.69 40.22 40.20 40.09 40.33 43.77 41.79 39.32 38.75 35.88 35.05 33.87 25.07 21.74 25.76 27.06 25.05 27.21 24.61 23.29 24.20 22.16 19.77 17.93 16.59 16.90 13.72 12.87 14.25 15.14 Pfizer PFE 16.54 15.70 15.34 14.96 13.77 12.89 13.56 14.54 15.70 15.92 15.05 16.17 16.83 17.96 18.95 19.57 20.21 19.41 18.14 18.08 16.85 18.35 19.32 20.83 20.60 20.55 22.02 22.27 21.48 22.59 23.61 23.65 24.63 24.65 25.02 25.08 25.96 El Paso Pipelines EPB 20.68 22.23 23.95 23.53 24.02 24.96 27.77 27.61 28.28 30.09 29.57 29.86 31.40 34.09 32.76 33.91 31.47 31.81 32.64 34.13 32.90 31.36 30.83 32.58 33.52 34.99 33.29 32.81 31.78 32.74 34.30 35.61 36.62 35.71 37.33 36.97 37.88 Teva TEVA 53.48 56.77 59.67 55.56 52.03 49.34 46.36 48.22 50.25 49.42 47.85 49.85 52.26 48.11 48.18 43.91 49.11 46.52 45.00 40.12 36.11 39.63 38.63 39.36 44.02 43.97 44.21 44.91 38.70 38.95 40.38 39.33 41.15 40.16 40.35 37.34 38.04 Kellogg K 49.46 47.74 48.92 50.30 49.26 46.38 46.15 46.18 46.95 46.72 46.14 47.87 47.14 50.58 50.98 54.08 54.21 52.62 53.06 52.08 51.00 51.97 47.55 48.92 47.90 51.05 52.30 49.32 47.98 48.52 46.92 50.25 51.25 51.91 55.46 55.85 56.64 Ford F 10.64 11.52 12.34 12.78 11.51 9.90 12.54 11.08 12.02 13.87 15.65 16.48 15.66 14.77 14.64 15.19 14.65 13.54 11.99 10.92 9.49 11.47 10.41 10.56 12.24 12.20 12.30 11.16 10.45 9.49 9.15 9.29 9.81 11.16 11.45 12.95 13.57 S&P500 AGSPC 1073.87 1104.49 1169.43 1186.69 1089.41 1030.71 1101.60 1049.33 1141.20 1183.26 1180.55 1257.64 1286.12 1327.22 1325.83 1363.61 1345.20 1320.64 1292.28 1218.89 1131.42 1253.30 1246.96 1257.60 1312.41 1365.68 1408.47 1397.91 1310.33 1362.16 1379.32 1406.58 1440.67 1412.16 1416.18 1426.19 1466.47 COMPUTING THE GLOBAL MINIMUM VARIANCE Variance-covariance matrix HPQ PFE EPB TEVA K F HPQ PFE EPB TEVA K F HPQ PFE EPB TEVA K F GMVP Variance Standard Deviation